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-1.75-(22)/(20)=
Enter the answer as an exact decimal or simplified fraction.

1.752220= -1.75-\frac{22}{20}= \newlineEnter the answer as an exact decimal or simplified fraction.

Full solution

Q. 1.752220= -1.75-\frac{22}{20}= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Convert to Improper Fraction: Convert the mixed number to an improper fraction.\newline1.75-1.75 can be written as 175100-1 \frac{75}{100}, which simplifies to 134-1 \frac{3}{4} because 75100\frac{75}{100} reduces to 34\frac{3}{4}.\newlineNow, convert 134-1 \frac{3}{4} to an improper fraction by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part.\newline1×4=4-1 \times 4 = -4\newline4+3=7-4 + 3 = -7\newlineSo, 134-1 \frac{3}{4} as an improper fraction is 74-\frac{7}{4}.
  2. Simplify Second Term: Simplify the second term.\newlineThe fraction 2220\frac{22}{20} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline22÷2=1122 \div 2 = 11\newline20÷2=1020 \div 2 = 10\newlineSo, 2220\frac{22}{20} simplifies to 1110\frac{11}{10}.
  3. Perform Subtraction: Perform the subtraction.\newlineNow we have 741110-\frac{7}{4} - \frac{11}{10}. To subtract these fractions, we need a common denominator. The least common multiple of 44 and 1010 is 2020.\newlineWe convert 74-\frac{7}{4} to a fraction with a denominator of 2020 by multiplying both the numerator and the denominator by 55.\newline7×5=35-7 \times 5 = -35\newline4×5=204 \times 5 = 20\newlineSo, 74-\frac{7}{4} is equivalent to 4400.\newlineWe convert 4411 to a fraction with a denominator of 2020 by multiplying both the numerator and the denominator by 4433.\newline4444\newline4455\newlineSo, 4411 is equivalent to 4477.\newlineNow we can subtract: 4488.
  4. Complete Subtraction: Complete the subtraction.\newline35202220=(3522)20-\frac{35}{20} - \frac{22}{20} = \frac{(-35 - 22)}{20}\newline=5720= -\frac{57}{20}\newlineThis is the final answer as a simplified fraction.

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